Question

A cubical die of edge 2 cm and another cubical die of edge 4 cm are used to play ludo. Find the ratios of their total surface areas.

• A. 4:1
• B. 2:3
• C. 1:4
• D. 2:1

Answer 1

The correct option is C 1:4

Both the dice are in the shape of cube and we know that total surface area of cube is given $6(edge{)}^2$.
Surface area of a cube of edge 2 cm, s
$=6\times 2^2$
Surface area of cube of edge 4 cm, S
$=6\times 4^2$
Therefore, ratio of their surface areas
$=\frac{s}{S}=\frac{6\times 4}{6\times 16}=\frac{4}{16}=\frac{1}{4}$